Abstract
A case study of the robust model-based predictive control (MPC) of an exothermic continuous stirred tank reactor (CSTR) with uncertain parameters is presented. Three robust MPC approaches are considered and the simulation results are compared in terms of quality of control performance and total consumption of coolant. The results reveal the main benefits of the considered approaches and confirm that the robust MPC can bring about a reduction in consumption of the coolant.
References
Bakošová, M., Oravec, J., & Matejičková, K. (2013). Model predictive control-based robust stabilization of a chemical reactor. Chemical Papers, 67, 1146–1156. DOI: 10.2478/s11696-012-0296-2.
Bakošová, M., & Oravec, J. (2013). Robust MPC of a chemical reactor using the nominal system optimization. In J. Markoš (Ed.), Proceedings of the 40th International Conference of Slovak Society of Chemical Engineering, May 27–31, 2013 (pp. 1070–1078). Tatranské Matliare, Slovakia: SSCE.
Cao, Y. Y., & Li, Z. L. (2005). Min-max MPC algorithm for LPV systems subject to input saturation. IEE Proceedings: Control Theory and Applications, 152, 266–272. DOI: 10.1049/ip-cta:20041314.
Kothare, M. V., Balakrishnan, V., & Morari, M. (1996). Robust constrained model predictive control using linear matrix inequalities. Automatica, 32, 1361–1379. DOI: 10.1016/0005-1098(96)00063-5.
Luyben, W. L. (2007). Chemical reactor design and control. Hoboken, NJ, USA: Wiley.
Löfberg, J. (2004). YALMIP: A toolbox for modeling and optimization in MATLAB. In Proceedings of the CACSD Conference, September 4, 2004. Taipei, Taiwan. DOI: 10.1109/cacsd.2004.1393890.
Mikleš, J., & Fikar, M. (2007). Process modelling, identification, and control. Berlin, Germany: Springer.
Molnár, A., Markoš, J., & Jelemenský, Ľ. (2002). Accuracy of mathematical model with regard to safety analysis of chemical reactors. Chemical Papers, 56, 357–361.
Sturm, J. F. (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11, 625–653. DOI: 10.1080/10556789908805766.
Wu, F. (2001). LMI-based robust model predictive control and its application to an industrial CSTR problem. Journal of Process Control, 11, 649–659. DOI: 10.1016/s0959-1524(00)00052-4.
Wan, Z., & Kothare, B. V. (2003). Efficient robust constrained model predictive control with a time varying terminal constrained set. Systems & Control Letters, 48, 375–383.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Oravec, J., Bakošová, M. Robust model-based predictive control of exothermic chemical reactor. Chem. Pap. 69, 1389–1394 (2015). https://doi.org/10.1515/chempap-2015-0146
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1515/chempap-2015-0146